Writing Linear Equations in Slope-Intercept Form Practice

Question

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2 of 52 of 5 Items

Question
Use the table to answer the question.

x
0 9 18
y
3 6 9
Identify the slope and y
-intercept of the line. Provide the most simplified form of the slope.

(1 point)
The slope is
. The y
-intercept is (0,
).

Answer 1

To find the slope (m) and the y-intercept (b) of the line represented by the given table of values, we can first determine the slope using the formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Using two points from the table, for example, (0, 3) and (9, 6):

• \( x_1 = 0 \), \( y_1 = 3 \)
• \( x_2 = 9 \), \( y_2 = 6 \)

Now, substitute these values into the slope formula:

\[ m = \frac{6 - 3}{9 - 0} = \frac{3}{9} = \frac{1}{3} \]

So, the slope is \( \frac{1}{3} \).

Next, to find the y-intercept, we look at the value of y when x = 0, which is given in the table as:

• When \( x = 0 \), \( y = 3 \).

Thus, the y-intercept is \( (0, 3) \).

In summary:

The slope is \( \frac{1}{3} \). The y-intercept is \( (0, 3) \).